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Thank you very much!

2a(a + 5)  =  [ distribute the 2a across the terms in the parentheses]

2a * a   +   2a * 5   =

2a^2 + 10a

Your monthly payment will be=$383.14

Total interest paid will be        =$2,390.72

Here is the formula used to calculate this:

PMT=PV. R.{[1 + R]^N/ [1 + R]^N - 1}=PMT NEEDED TO PAY OFF A LOAN OF $16,000,

Where R=Interest rate per period, N=number of periods, P=periodic payment. PV=Present value

x^2 + 1x       take half the coefficient on x = 1/2, square it.= 1/4......add it and subtract it......so we have

x^2  + 1x + 1/4 -  1/4     factor  the first three terms

(x + 1/2)^2  - 1/4

Thank you SO much!!

Now I understand what i did wrong!!

Thank you thank you thank you!

Solve for x over the real numbers:
x^2+12 x = 64

Subtract 64 from both sides:
x^2+12 x-64 = 0

x = (-12±sqrt(12^2-4 (-64)))/2 = (-12±sqrt(144+256))/2 = (-12±sqrt(400))/2:
x = (-12+sqrt(400))/2 or x = (-12-sqrt(400))/2

sqrt(400) = sqrt(16×25) = sqrt(2^4×5^2) = 4×5 = 20:
x = (-12+20)/2 or x = (-12-20)/2

(-12+20)/2 = 8/2 = 4:
x = 4 or x = (-12-20)/2

(-12-20)/2 = -32/2 = -16:
Answer: | x = 4       or x = -16
 

are you speaking Giberish?

Aw, Thanks, Guest!

Very much made my day!

:)

I SENSE you are a bright girl!

Thank you so much for your help!!! :)

that makes a lot more since then what i thought.

5x + 8y = 2      →     10x + 16y  = 4     (1)
-2x + 3y = -7  →      -10  + 15y  = -35   (2)

Add (1)  and (2)   this gives us

31y  = -31    divide by 31 on both sides

y = -1  

Subbing this into     5x + 8y  = 2   we have

5x + 8(-1)   = 2

5x - 8  = 2     add 8 to both sides

5x  = 10     divide by 5 on both sides

x = 2

4^30= 1099511627776

1048576^3= 1.1529215

:)

Nice, Spawn.....!!!!

Thanks :D. 

Very nice, Haley........I like that fractional asnwer better than the decimal answer that most people would give....!!!!

Ommgg!! I'm laghing so hard right now!

(½)^11

  (1/2)^11  =  (1)^11 / (2)^11  =  1 / 2048

That's nothing......I remember when Melody was just a "baby" dinosaur.......!!!!!!

Here's another method :

2cos(2x) - cos^2(x) = 1 -3sin^2(x)          break up  -3sin^2(x)  into  -2sin^2x - sin^2(x) 

2cos(2x) - cos^2(x)  = 1 - 2sin^2(x) -sin^2(x)     rearrange the right side

2cos(2x) - cos^2x  = 1 - sin^2(x) - 2sin^2(x)

2cos(2x) - cos^2(x)  = cos^2(x) - 2sin^2(x)    add cos^2(x) to both sides

2cos(2x)  = 2cos^2(x) - 2sin^2(x)    divide through by 2

cos(2x)  = cos^2(x) - sin^2(x)         which is a basic  identity

LOOOOL.

When you think about it, essentially, you just figure out how many times 1 number goes into another

Example 1:

1 goes into 12, 12 times, thats why 12/1=12

Example 2: 

3 goes into 12, 4 times, thats why 12/3=4

Simply convert the fraction toa  decimal and divide

7/17 = 0.4117647058823529

2/21 = 0.0952380952380952

.4117647058823529/0.0952380952380952 = 4.3235294117647071794

Round 

4.324

Veritcal stretch- a

Horizantal shift- h

Veritcal shift- k

y=a(x-h)³+k

Therefore,

y=3(x-4)³-3

Thanks!

Verify the following identity:
2 cos(2 x)-cos(x)^2  =  1-3 sin(x)^2

cos(x)^2 = 1-sin(x)^2:
2 cos(2 x)-1-sin(x)^2  =  ^?1-3 sin(x)^2

cos(2 x) = 1-2 sin(x)^2:
2 1-2 sin(x)^2-(1-sin(x)^2)  =  ^?1-3 sin(x)^2

-(1-sin(x)^2) = sin(x)^2-1:
sin(x)^2-1+2 (1-2 sin(x)^2)  =  ^?1-3 sin(x)^2

2 (1-2 sin(x)^2) = 2-4 sin(x)^2:
-1+sin(x)^2+2-4 sin(x)^2  =  ^?1-3 sin(x)^2

-1+sin(x)^2+2-4 sin(x)^2 = 1-3 sin(x)^2:
1-3 sin(x)^2  =  ^?1-3 sin(x)^2

The left hand side and right hand side are identical:
Answer: | identity has been verified)